Question

Suzy drove to a hair appointment at 50mph. Her average speed on the return home was 40mph. The return home took 1/4hr longer because of heavy traffic. How far did she travel to her hair appointment?

Answer 1

Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 m

To answer the question, we need to know what distance travelled by Suzy is

Distance between Suzy's home and hair appointment

The distance between Suzy and her appointment is d = vt where

• v = Suzy's speed = 50 mph and
• t = time it takes to teach her appointment.

So, d = 50t   (1)

Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h

Since the distance she ruturns home is the same, we also have that

d = v't'

= 40(t + 1/4)  (2)

Equating (1) and (2), we have

50t = 40(t + 1/4)

50t = 40t + 10

50t - 40t = 10

10t = 10

t = 10/10

t = 1 hr

How far Suzy travelled to her appointment

Substituting t = 1 into d = 50t, we have

d = 50(1)

d = 50 m

So, how far Suzy travelled to her appointment is 50 m

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